Mathematics High School

If m∠2=4x+7 and m∠7=5x-13, find x.

Answers

Answer 1

Answer:

x =20

Step-by-step explanation:

m∠2 ≅ m∠6 because they are corresponding angles

m∠6 ≅ m∠7 because they are vertical angles

∴ m∠2 ≅ m∠7 by substitution

4x+7 = 5x-13

7 = x-13

20 = x

Answer 2

The value of x is 20.

What are vertically opposite angles?

Vertical angles are angles opposite each other where two lines cross.

What are corresponding angles?

Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal are corresponding angles.

According to the given question.

We have

m ∠2 = 4x + 7

and m ∠7 = 5x - 13

From the given figure we can say that

m ∠7 = m ∠6...(i) (because they are vertically opposite angles)

and m ∠6 = m ∠2...(ii) ( corresponding angles)

From (i) and (ii)

m ∠7 = m ∠2

⇒ [tex]5x - 13 = 4x + 7[/tex]

⇒ [tex]5x - 4x = 7 +1 3[/tex]

⇒ [tex]x = 20[/tex]

Hence, the value of x is 20.

Find out more information about vertically opposite angles and corresponding angle here:

https://brainly.com/question/18296786

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Related Questions

Let f be a differentiable function. If h (x) = (2+ f (sin x))", which of the following gives a correct process for finding h' (x) ?

Answers

Answer:

[tex]\displaystyle h'(x) = \cos (x) f'(\sin x)[2 + f(\sin x)]'''[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Derivative Rule [Basic Power Rule]:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle h(x) = [2 + f(\sin x)]''[/tex]

Step 2: Differentiate

Derivative Rule [Chain Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' [2 + f(\sin x)]'[/tex]Rewrite [Derivative Property - Addition/Subtraction]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' \bigg[(2)' + [f(\sin x)]' \bigg][/tex]Derivative Rule [Basic Power Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' [f(\sin x)]'[/tex]Derivative Rule [Chain Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' f'(\sin x)(\sin x)'[/tex]Trigonometric Differentiation: [tex]\displaystyle h'(x) = \cos (x) f'(\sin x)[2 + f(\sin x)]'''[/tex]

From here, if you would like, you can take the 3rd derivative of the last piece.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Select the point - slope form of the line

Select one:

a.
y − y1 = m ( x − x1 )

b.
ax + by + c = 0

c.
x / a + y / b = 1

d.
y = mx + b

Answers

Answer:

y − y1 = m ( x − x1 )

Step-by-step explanation:

Point slope form would include a slope 'm' and a point (x1, y1).

The first option is the general formula for point-slope form.

B is standard form for a straight line (it can also be Ax + By = C)

C is intercept form.

D is slope-intercept form.

Hope this helps.

can someone help me for this?

Answers

Answer:

500000N=2m

x. =6m

cross multiply, it'll be

6×50000÷2

=150,000N

what is the probability

Answers

Answer:

1/4

Step-by-step explanation:

the probability on getting blue on spinner is 1/2

1/2 x 1/2 =1/4

three teachers have purchased candy for a school carnival. each bag of candy weigh is 1 1/4 pounds

Answers

Answer:

3 * 1.25 = 3.75

Step-by-step explanation:

3.75 also equals 3 3/4

1. The teacher assigns homework after 7/10
of the lessons
A) unlikely
B) likely
C) certain
D) equally likely

Answers

Answer:

B) Likely

Step-by-step explanation:

Unlikely = < 50%

Likely = > 50%

Certain = 100%

Equally likely = 50%

The area of a rhombus is 40 sq cm and one of its diagonals is 8 cm long. Find the length of the other diagonal.

Answers

Answer: The length of the other diagonal is 10 cm...

So the diagonal formula is - 1/2* (d1*d2) d1 is the first diagonal and d2 is the second diagonal.

So,

1/2 * (8*d2) = 40

8d2= 40*2

d2= 80/8

d2= 10

To make a sports drink, Tommy puts 2 liters of water in a pitcher along with 4 ounces of sports drink additive. How much liquid is now in the pitcher, in ounces?

1 liters = 33.81 ounces

Answers

Answer:

71.62

Step-by-step explanation:

2 liters = 2(33.81) ounces or 67.62 oz

4 more ounces were added

new total is 71.62 oz

Combine the like terms to create an equivalent expression:
-k+3k

Answers

Answer:2k

Step-by-step explanation:

-k+3k

-1k+3k

(-1+3)k

Answer:

Step-by-step explanation:

-k is the same as -1k so you can just solve it like that. Also, when adding terms with variables you just add the number in front (if they have the same variable). So -1k + 3k = 2k. Pretty much the same as -1 + 3, you just add a variable..

See the picture first, thank you.

QUESTIONS::

1. Does each graph represent a linear function? Why?

2. What is the domain of the first graph? second graph?

3. What is the range of the first graph? second graph?

Answers

Answer:

1. yes, both lines are straight

2. domain: (-∞ ∞)

3. range: (-∞ ∞)

how do i solve this

Answers

Answer:

m <E = 134

Step-by-step explanation:

Triangle DEF looks like an isosceles triangle to the base angles are the same measure.

6x+11 = 10x+3

Subtract 11 from both sides

6x = 10x-8

Subtract 10x from both sides

-4x = -8

Divide -4 from both sides

x = 2

Substitute 2 into both equations to make sure it works

6 (2) + 11

12+11

10 (2) +3

20+3

Both angles equal 23 degrees.

Now subtract both angles from the total angle measure of 180.

180-23-23=134

Find the value of x

3x = 9²

Answers

[tex]\huge\boxed{Hi\:there!}[/tex]

[tex]\huge\sf{3x=9^2}[/tex]

[tex]\huge\sf{3x=81}[/tex]

[tex]\huge\sf{Divide\:both\:sides\:by\:3\:to\:isolate\:x:}[/tex]

[tex]\huge\sf{x=27}[/tex]

[tex]\huge\boxed{Hence,\:x=27.}[/tex]

[tex]\huge\sf\underline{Hope\:it\:helps}[/tex]

[tex]\boxed{CheerfulGirlie\:here\:to\:help}[/tex]

Question:-

Find the value of x

3x = 9²

Answer:-

x = 27

Explanation:-

=> 3x = 9²

=> 3x = 81 [9² = 9×9 = 81]

=> x = 81/3

=> x = 27

Can you calculate problems involving percent? pls help i WILL make as brainlyst pls i dont wanna fail

Answers

Calculating percent in easy, if you turn in into fractions like 20% is 20/100 or 2/10 if you look at it that way it should help you understand it

Answer:

45 is 150% of 30.

Step-by-step explanation:

To find what percent of 30 is 45 first we must turn it into a fraction and simplify.

fraction form: 45/30

simplified fraction form: 3/2

now to find percent you have to put a number over one hundred.

3/2 = ?/100

Right now our denominator is 2. By what number can we multiply 2 to get to 100? The answer is 50.

Now that we have multiplied the denominator by 50, we also have to multiply the numerator (3) by fifty. 3 x 50 = 150

so now we put the new numerator and denominator together and get 150/100

The answer is 150%

Find an ordered pair (x, y) that is a solution to the equation 3x-y=4

Answers

Answer:

(0,-4)

Step-by-step explanation:

3(0) - (-4) = 4

0 + 4 = 4

if a customer spent $60, how many people did they buy food and beverages for?

Answers

They could have spent $10 on each person of a group of 6

Each time Bobby rides the JUTC bus, money will be deducted from the value of his card. He rode the bus 5 times and his card was charged $100. What integer best represents the the amount by which the balance of the card changed each time it was used?

Possible Answers

A. -$500
B. $20
C. -$20
D. $500

Answers

Answer:

Step-by-step explanation:

100/5= 20

he was charhed 20

PLEASE PLEASE HELP IM TIMED!! Just look at the picture

Answers

The first one A 7/2
You can just round up 6.75 -> 7 and 1.67->2

the answer is the first one :) 7/2

In a litter of 7 kittens, each kitten weighs less than 3.5 ounces. Find and graph all the possible combined weights of the kittens.

Answers

Answer:

Step-by-step explanation:

24.5 just multiply hope that helpss

PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls

Answers

Answer:

See below

Step-by-step explanation:

x + 5 = 12, subtract 5 from both sides

x = 7

Subtraction property of equality

a = ba - c = b - c

x + y = 20 and y = 5, substitute 5 into first equation

x + 5 = 20

Substitution property of equality

a + b = c and b = da + d = c

2x - 3 = 11, interchange the sides of equality

11 = 2x - 3

Symmetric property of equality

a = bb = a

Answer:

1. if x + 5 = 12, then x = 7

:Subtraction property of equality

2. If x + y = 20, and y = 5, then x + 5 = 20.

:Substitution property of equality

3. If 2x3 = 11, then 11 = 2x - 3.

:Symmetric property of equality

Linda took her son to the batting cages. For the first 5 minutes she paid $10 and for
each additional minute she paid $.50. If Linda, paid $22 for her son to go to the batting
cages, how much time were they there for?

Answers

Answer:

29 minutes

Step-by-step explanation:

а 5. Protein Bar A has 15 grams of protein in
a 40 gram bar. Protein Bar B has 20 grams of protein in a 60 gram bar. Which bar has more protein per gram?

Answers

The answer is Protein Bar A

find an ordered pair that represents the vector from (-3.7, 2) to (-4, -5)

Answers

Answer is (-0.3 ,7) I am sure this answer

does 12 11 and 7 make a right triangle

Answers

Answer: no

Step-by-step explanation: hope it helps

This is a 45-45-90 triangle.
What is the measure of x?
Х
14
Х
x = [?]V

Answers

Answer:

x = 14[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Since the triangle is 45- 45- 90 then it is isosceles with the 2 legs being congruent, both 14

Using Pythagoras' identity in the right triangle

x² = 14² + 14² = 196 + 196 = 392 ( take square root of both sides )

x = [tex]\sqrt{392}[/tex] = [tex]\sqrt{196(2)}[/tex] = [tex]\sqrt{196}[/tex] × [tex]\sqrt{2}[/tex] = 14[tex]\sqrt{2}[/tex]

write the equation of a line that passes through the points (-7,-4) and (-5,-6)

Answers

Answer:

y=-x-11

Step-by-step explanation:

Simplify using combining like terms: 3a + 6 + 2a - 8

Answers

Answer:

a = 2

Step-by-step explanation:

Simplifying

3a + 6 = 2a + 8

Reorder the terms:

6 + 3a = 2a + 8

Reorder the terms:

6 + 3a = 8 + 2a

Solving

6 + 3a = 8 + 2a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-2a' to each side of the equation.

6 + 3a + -2a = 8 + 2a + -2a

Combine like terms: 3a + -2a = 1a

6 + 1a = 8 + 2a + -2a

Combine like terms: 2a + -2a = 0

6 + 1a = 8 + 0

6 + 1a = 8

Add '-6' to each side of the equation.

6 + -6 + 1a = 8 + -6

Combine like terms: 6 + -6 = 0

0 + 1a = 8 + -6

1a = 8 + -6

Combine like terms: 8 + -6 = 2

1a = 2

Divide each side by '1'.

a = 2

Determine if 0.929229222922229222229... is rational or irrational and give a
reason for your answer.

Answers

An irrational number is a number which cannot be written in the form p/q where p and q are both integers and q is not equal to zero. Here, the above number cannot be written in the form p/q.Secondly, irrational numbers are non-terminating and non-recurring numbers.The above number is an example of non-terminating and non-recurring number.So, it is irrational.

Answer:

It is irrational.

Hope you could get an idea from here.

Doubt clarification - use comment section.

I have no idea how to do this. Please help.

Answers

Answer:

Area is 5 cm and perimeter is 12 cm

Step-by-step explanation:

Area: top left sqare:

1cm * 1cm = 1 cm

bottom rectangle:

1cm * 3 cm = 3 cm

top right square:

1cm * 1cm = 1 cm

Perimeter:

1 cm + 2 cm+ 3 cm+ 2 cm+ 1 cm + 1 cm + 1cm + 1cm = 12 cm

23.
Find the next three terms of the arithmetic sequence. 19, 24, 29, 34, ...

Answers

Answer:

39, 44, 48

Step-by-step explanation:

Add 5 to the following terms.

Please mark me as the Brainliest, Thank you!

Helppppppppppppppppp

Answers

[tex]\huge \tt༆ Answer ༄[/tex]

The respective terms used for the lines are ~

a.) Line a = Tangent

b.) Line b = Radius

c.) Line c = Diameter

d.) Line d = Secant

Step-by-step explanation:

a is tangent

b radius

c diameter

d chord

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